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Mathematics

Statement I: Both the face value and the place value of 1 in 531 is 1.

Statement II: The face value of a digit in a number is the digit itself.

  1. Statement I is true but statement II is false.

  2. Statement I is false but statement II is true.

  3. Both Statement I and statement II are true.

  4. Both Statement I and statement II are false.

Number System

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Answer

Let us first consider Statement I.

In 531, the digit 1 is at the ones place.

Face value of 1 = 1.

Place value of 1 = 1 × 1 = 1.

So both the face value and the place value of 1 are 1.

∴ Statement I is true.

Now let us consider Statement II.

The face value of a digit in a number is the digit itself, regardless of the place it occupies.

∴ Statement II is true.

Thus, both Statement I and Statement II are true.

Hence, option 3 is the correct option.

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